@inproceedings{264bf2d7d89b429daf5dcdb97bceaefa,
title = "Infinite exchangeability for sets of desirable gambles",
abstract = "Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation. We study infinite exchangeability assessments for them, and give a counterpart of de Finetti's infinite representation theorem. We show how the infinite representation in terms of frequency vectors is tied up with multivariate Bernstein (basis) polynomials. We also lay bare the relationships between the representations of updated exchangeable models, and discuss conservative inference (natural extension) under exchangeability.",
keywords = "coherence, desirability, exchangeability, natural extension, representation, sets of desirable gambles, updating, weak desirability",
author = "\{de Cooman\}, Gert and Erik Quaeghebeur",
year = "2010",
doi = "10.1007/978-3-642-14055-6\_7",
language = "English",
isbn = "9783642140549",
series = "Communications in Computer and Information Science",
pages = "60--69",
editor = "Eyke Hullermeier and \{ Kruse\}, Rudolf and Frank Hoffmann",
booktitle = "Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods",
note = "Information Processing and Management of Uncertainty in Knowledge-Based Systems: Theory and Methods, 13th International Conference, IPMU 2010 ; Conference date: 28-06-2010 Through 02-07-2010",
}